Step-by-step explanation:
x=y+7
3x+2y=6
so wherever you see X you but y+7
3(y+7)+2y=6
3y+21+2y=6
group like terms
3y+2y=6-21
5y=-15
divide by 5
y=-3
to find x sub the y value in the equation
x=y+7
x=-3+7
x=4
Answer:
the answer is additive inverse
This should be the correct solution
x + 4 = -8
x + 4 + (-4) = -8 + (-4)
x + 0 = -12
x = -12
<span>C. The student added improperly and got the wrong answer in step 3.
</span>
The student failed to consider the negative signs of 8 and 4.
Answer:
17: 0.65
18: 0.05
19: 0.27
20: 1840
Step-by-step explanation:
You should know that you can predict changes in coordinates after translations without a graph or anything like that.
(x, y) reflected over the x axis = (x, -y)
(x, y) reflected over the y axis = (-x, y)
(x, y) rotated 90 degrees around the origin = (y, -x)
(x, y) rotated 180 degrees around the origin = (-x, -y)
(x, y) rotated 270 degrees around the origin - (-x, y)
So here's our set of points.
A(1, 2), B(4, 6), C(4, 6)
Here's those points reflected over the x axis.
A'(1, -2), B'(4, -6), C'(4, -6)
And here's <em>those</em> points rotated 180° around the origin.
A''(2, -1), B''(6, -4), C''(6, -4)
I think you made a mistake writing down the question, though, because B and C are the same yet you say ABC forms a triangle. You should be able to go through this process with whatever the coordinate was supposed to be.
